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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 118580f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118580.o1 | 118580f1 | \([0, 0, 0, 847, 9317]\) | \(48384/55\) | \(-76389710320\) | \([]\) | \(86400\) | \(0.77467\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118580f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 118580f do not have complex multiplication.Modular form 118580.2.a.f
sage: E.q_eigenform(10)